Parallel-Vector Equation Solvers for Finite Element Engineering Applications

ISBN-13: 9781461355045 / Angielski / Miękka / 2012 / 344 str.

Duc Thai Nguyen

Opis

Despite the ample number of articles on parallel-vector computational algorithms published over the last 20 years, there is a lack of texts in the field customized for senior undergraduate and graduate engineering research. Parallel-Vector Equation Solvers for Finite Element Engineering Applications aims to fill this gap, detailing both the theoretical development and important implementations of equation-solution algorithms. The mathematical background necessary to understand their inception balances well with descriptions of their practical uses. Illustrated with a number of state-of-the-art FORTRAN codes developed as examples for the book, Dr. Nguyen's text is a perfect choice for instructors and researchers alike.

Spis treści

Preface. Acknowledgments. Disclaimer of Warranty. 1. Introduction. 2. Storage Schemes for the Coefficient Stiffness Matrix. 3. Parallel Algorithms for Genreation and Assembly of Finite Element Matrices. 4. Parallel-Vector Skyline Equation Solver on Shared memory Computers. 5. Parallel-Vector Variable Bandwidth Equation Solver on Shared Memory Computers. 6. Parallel-Vector Variable Bandwidth Out-of-Core Equation Solver. 7. Parallel-Vector Skyline Equation Solver for Distributed Memory Computers. 8. Parallel-Vector Unsymmetrical Equation Solver. 9. A Tridiagonal Solver for Massively Parallel Computers. 10. Sparse Equation Solver with Unrolling Strategies. 11. Algorithms for Sparse-Symmetrical-Indefinite and Sparse-Unsymmetrical System of Equations. Index.